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Finding the Fourth Proportional to 784.93, 1,084.10 and 659.35

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Solution

The fourth proportional to 784.93, 1,084.10 and 659.35 is: 910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.93 : 1,084.10 = 659.35 : x
  2. Step 2: Convert to fraction form
    784.93/1,084.10 = 659.35/x
  3. Step 3: Cross multiply
    784.93x = 1,084.10 × 659.35
  4. Step 4: Simplify right side
    784.93x = 714,799.16
  5. Step 5: Solve for x
    x = 714,799.16/784.93
  6. Step 6: Final answer
    x = 910.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.